Search a number
-
+
374422856916672 = 2633240059902611
BaseRepresentation
bin101010100100010010001110…
…1011000011101111011000000
31211002201110211200011002202000
41111020210131120131323000
5343034021002332313142
63404155252541024000
7141603105303565254
oct12510443530357300
91732643750132660
10374422856916672
11a9336929600393
1235bb17a9255000
13130bcc01a87b35
14686623d284264
152d448e76a314c
hex154891d61dec0

374422856916672 has 112 divisors (see below), whose sum is σ = 1100739666537600. Its totient is φ = 124806960794880.

The previous prime is 374422856916649. The next prime is 374422856916677. The reversal of 374422856916672 is 276619658224473.

374422856916672 is a `hidden beast` number, since 3 + 7 + 4 + 42 + 2 + 8 + 569 + 16 + 6 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 374422856916672.

It is not an unprimeable number, because it can be changed into a prime (374422856916677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414370647 + ... + 415273257.

Almost surely, 2374422856916672 is an apocalyptic number.

374422856916672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

374422856916672 is an abundant number, since it is smaller than the sum of its proper divisors (726316809620928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

374422856916672 is a wasteful number, since it uses less digits than its factorization.

374422856916672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1142691 (or 1142675 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

The spelling of 374422856916672 in words is "three hundred seventy-four trillion, four hundred twenty-two billion, eight hundred fifty-six million, nine hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 240059 480118 720177 902611 960236 1440354 1805222 1920472 2160531 2707833 2880708 3610444 3840944 4321062 5415666 5761416 6481593 7220888 7681888 8123499 8642124 10831332 11522832 12963186 14441776 15363776 16246998 17284248 21662664 23045664 24370497 25926372 28883552 32493996 34568496 43325328 46091328 48740994 51852744 57767104 64987992 69136992 86650656 97481988 103705488 129975984 138273984 173301312 194963976 207410976 259951968 389927952 414821952 519903936 779855904 1559711808 216679894049 433359788098 650039682147 866719576196 1300079364294 1733439152392 1950119046441 2600158728588 3466878304784 3900238092882 5200317457176 5850357139323 6933756609568 7800476185764 10400634914352 11700714278646 13867513219136 15600952371528 20801269828704 23401428557292 31201904743056 41602539657408 46802857114584 62403809486112 93605714229168 124807618972224 187211428458336 374422856916672